刚度悬殊结构振动的最优控制

Optimal Vibration Control of Structures with Great Disparity in Rigidity

讨论了刚度悬殊结构振动的最优控制问题，指出这类问题的困难在于矩阵Ｒｉｃａｔｉ方程的求解。先用摄动法求出系统的动力学响应，再求出最优控制的解，使得在实际应用上相当大一类带有上述奇异性的最优控制问题可化为非奇异性问题来求解。

This paper presents the discussion of the vibration control of structures with great disparity in rigidity.The difficulty of such problem is the solution of Ricatti Linear Equation.In this paper,we first get the dynamical response by usual perturbation method,and then solve a regular optimal control problem. This technique makes a large kind of optimal control problem in practice with above singularity become a nonsingular problem.